details

property	value
status	complete
benchmark	toyama.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n023.star.cs.uiowa.edu
space	Strategy_removed_mixed_05

run statistics

property	value
solver	NTI_23
configuration	default
runtime (wallclock)	0.362808942795 seconds
cpu usage	0.752746439
max memory	5.4882304E7

stage attributes

key	value
output-size	3465
starexec-result	"NO"

output

/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO ** BEGIN proof argument ** * Certificate: f(g(0,1),1,g(0,1)) is non-terminating * Description: The following rule R was generated while unfolding the dependency pairs of the analyzed TRS: [iteration = 3] f^#(g(0,_0),1,g(0,_0)) -> f^#(g(0,_0),_0,g(0,_0)) Let l be the left-hand side and r be the right-hand side of R. Let p = epsilon, theta1 = {_0->1} and theta2 = {}. We have r|p = f^#(g(0,_0),_0,g(0,_0)) and theta2(theta1(l)) = theta1(r|p), i.e., l semi-unifies with r|p. So, the term theta1(l) = f(g(0,1),1,g(0,1)) starts an infinite rewrite sequence w.r.t. the analyzed TRS. ** END proof argument ** ** BEGIN proof description ** ## Searching for a generalized rewrite rule (a rule whose right-hand side contains a variable that does not occur in the left-hand side)... No generalized rewrite rule found! ## Applying the DP framework... ## 1 initial DP problem to solve. ## First, we try to decompose this problem into smaller problems. ## Round 1 [1 DP problem]: ## DP problem: Dependency pairs = [f^#(0,1,_0) -> f^#(_0,_0,_0)] TRS = {f(0,1,_0) -> f(_0,_0,_0), g(_0,_1) -> _0, g(_0,_1) -> _1} ## DP Processor: homeomorphic embeddings. Using no argument filtering, i.e., applying the processor to the full problem only. Failed! ## DP Processor: lexicographic path orders. Using no argument filtering, i.e., applying the processor to the full problem only. Failed! ## DP Processor: polynomial interpretations. Using no argument filtering, i.e., applying the processor to the full problem only. Failed! ## DP Processor: Knuth-Bendix orders. Using no argument filtering, i.e., applying the processor to the full problem only. Failed! All the DP processors have failed! Don't know whether this DP problem is finite. ## A DP problem could not be proved finite. ## Now, we try to prove that this problem is infinite. ## DP Processor: [Payet, LOPSTR'18] + [Payet, Non-termination in TRS and LP] (forward=true, backward=true, max=20). # max_depth=20, unfold_variables=false: # Iteration 0: infiniteness not proved, 1 unfolded rule generated. # Iteration 1: infiniteness not proved, 1 unfolded rule generated. # Iteration 2: infiniteness not proved, 4 unfolded rules generated. # Iteration 3: success, loop found, 8 unfolded rules generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = f^#(0,1,_0) -> f^#(_0,_0,_0) [trans] is in U_IR^0. We build a unit triple from L0. ==> L1 = f^#(0,1,_0) -> f^#(_0,_0,_0) [unit] is in U_IR^1. Let p1 = [0]. We unfold the rule of L1 backwards at position p1 with the rule g(_0,_1) -> _0. ==> L2 = f^#(g(0,_0),1,g(0,_0)) -> f^#(g(0,_0),g(0,_0),g(0,_0)) [unit] is in U_IR^2. Let p2 = [1]. We unfold the rule of L2 forwards at position p2 with the rule g(_0,_1) -> _1. ==> L3 = f^#(g(0,_0),1,g(0,_0)) -> f^#(g(0,_0),_0,g(0,_0)) [unit] is in U_IR^3. This DP problem is infinite. Proof run on Linux version 3.10.0-1160.62.1.el7.x86_64 for amd64 using Java version 1.8.0_322 ** END proof description ** Total number of generated unfolded rules = 23 popout

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job log

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actions

all output return to TRS Standard